Notes

`a_n = (5n^2)/(n^2+2)` To determine the limit of this sequence, let n approach infinity. `lim_(n->oo) a_n` `=lim _(n->oo) (5n^2)/(n^2+2)` To solve, factor out the `n^2` in the denominator. `=lim_(n->oo) (5n^2)/(n^2(1+2/n^2))` Cancel the common factor. `= lim_(n->oo) 5/(1+2/n^2)` Then, apply the rule `lim_(x->c) (f(x))/(g(x)) = (lim_(x->c) f(x))/(lim_(x->c) g(x))` . `= (lim_(n->oo)5)/(lim_(n->oo) (1+2/n^2))` Take note that the limit of a constant is equal to itself  `lim_(x->c) a = a.` Also, if the rational function has a form `a/x^m` , where m represents any positive integer, its limit as x approaches infinity is zero `lim_(x->oo) (a/x^m) = 0` .     ` (lim_(n->oo)5)/(lim_(n->oo) (1+2/n^2))` `= 5/1` `=5` Therefore, the limit of the given sequence is 5.

Dr. Grimesby Roylott comes to visit Mr. Holmes and Dr. Watson in their home on Baker Street, having followed his step-daughter as she traveled there in the wee hours of the morning. The stepdaughter, Miss Helen Stoner, has been to seek the help of Holmes and Watson because she believes her life may be in danger. A few minutes after she leaves, Dr. Roylott bursts through the door of the apartment in a fit of anger. He yells at Holmes and Watson that they should not pursue the case and "stay out of his affairs." He warns them that he is not to be messed with, and even bends a fire-poker in a display of strength. This is the only occasion where Dr. Roylott, Mr. Holmes, and Dr. Watson interact directly. Perhaps it was his violent attitude which made Mr. Holmes suspect Dr. Roylott of being responsible for Miss Stoner's situation.

Final causality refers to Aristotle’s theory of the four causes. These are four types of explanations of change or movement. The fourth cause is the end or purpose ( telos ), that for the sake of which a thing exists or is done. According to Aristotle, a seed has as its end to become an adult plant. In human action, the final causality of a man walking could be to stay fit. In the animal world, the final causality of a dog barking could be to scare away a potential threat.   Some mistakenly believe Aristotle’s theory of final causality reads human purposes and intentions into the natural world. Rather, this teleological view of the natural world means that whatever lies at the end of the typical developmental changes of a species is its final causality. In scientific fields, teleological explanations have gone out of favor and are often deliberately avoided because conclusions about final and formal causation are often faulty or subjective. Instead, scientific explanations tend to focu...

Miss Brill seems to be an English woman who now lives in France and teaches English. At one point, she references her "English pupils" and considers telling them what she does on Sundays.  The story is set in France, and the action takes place at Miss Brill's home as well as the Jardins Publiques (or the public gardens, a large park). The story begins in her apartment, and then she walks to the park on a brisk and bright Sunday morning. These facts are important because they help us understand that Miss Brill is very much alone. She clearly worries that no one would miss her if she disappeared, and this is why the fantasy of being in a play is so attractive to her. Believing that she plays a role allows her to think that she would be missed if she didn't show up one day. Miss Brill doesn't fit in at the most basic cultural level—she's a foreigner—and this undercurrent of alienation helps us to understand just how completely untethered by relationships she is. ...

A theme is a universal truth about life or mankind that a work of art seeks to convey. A literary work can have many themes. Three themes in Nadine Gordimer's short story are explained below. 1. Living in fear creates a prison of one's own making. In the story frame and in the bedtime story the narrator tells herself, the characters allow fear to dictate how they act. The narrator, lying in bed, is "a victim already." She feels trapped in her room, unable to rest or sleep but also unable to rise up and put her fears to rest. The family, attempting to protect themselves from rioters, murders, and burglars, enclose themselves behind walls, bars, and finally an ugly Auschwitz-like coil. What they do to their property symbolizes what they are doing to their souls and spirits—cutting themselves off and stunting their lives because of their fears. 2. Avoiding and withdrawing from what we fear, especially if it is fear of "the other," cannot solve the problem.  The...

`a_n=cos(2/n)` To determine the limit of this function, let n approach infinity. `lim_(n->oo) a_n` `=lim_(n-> oo) cos(2/n)` To solve, let the angle `2/n` be equal to u, `u = 2/n` . Take the limit of this angle as n approaches infinity. `lim_(n->oo) u = lim_(n->oo)  2/n = 0` Then, take the limit of the cosine as u approaches zero. `lim_(u->0) cos(u) = cos(0) = 1` So the limit of cos(2/n) as n approaches infinity is equal to 1. `lim_(n->oo) cos (2/n) = 1` Therefore, the limit of the given sequence is 1.

I suppose that the cross sectional area `A` of the original wire is constant along its length, and the same for the stretched wire (although its cross sectional area `A'` is clearly different). It is known and is not of big surprise that the resistance of a wire from the same material in the same conditions is directly proportional to its length `L` and is inversely proportional to its cross sectional area `A.` It is given that the new length `L'` is `n` times greater than the original, `L'=n*L.` What about the new cross sectional area `A'?` The mass of the wire and therefore its volume must remain the same, and it is equal to `L*A = L'*A' = n*L*A'.` Hence the new area `A' = A/n,`  `n` times less, and `(L')/(A') = (nL)/(A/n) = n^2 L/A.` Therefore the new resistance will be `n^2` times greater than the original, `R' = n^2 R.`

Christopher Marlowe and William Shakespeare were contemporaries of the age.    There are many similarities in their literary styles; so many, in fact, that it has often been speculated that Marlowe wrote some of Shakespeare’s plays.  Marlowe definitely had an influence on Shakespeare.  One of the most obvious similarities between the two was that they both wrote in blank verse.  Marlowe took the idea of blank verse common to his time and changed its conventional form to a more flexible structure known as “the Mighty Line.”  Shakespeare then perfected Marlowe’s form into the blank verse that we know in his plays today. Both men also wrote tragedies following Aristotle’s idea of the tragic hero who has an inherent tragic flaw. Although their tragic heroes were very similar, however, there were some differences in their tragedies.  Shakespeare was very fond of using supernatural elements in his plays in order to produce mystery, but Marlowe’s plays did not contain the supernatural and wer...

Gilly makes a paper airplane for William Ernest as part of a scheme to gain his favor. One evening, shortly after being placed in Mrs. Trotter's home, Gilly is asked to entertain William Ernest, Mrs. Trotter and Mr. Randolph by reading aloud to them. When the only book available is the Bible, Gilly immediately offers to run next door to Mr. Randolph's house and choose a new book to read. While selecting a book, Gilly gets distracted rearranging the messy shelves. On the top shelf she spies an out of place volume of an encyclopedia set. She must climb on a chair in order to reach it to return it to its rightful place. As she pulls it off the shelf, two five dollar bills flutter to the floor. Excited by the prospect of more money hidden high in the bookshelves, Gilly begins to hatch a plan to steal it and buy a bus ticket to California to find her mother. She knows she will need help to get uninterrupted time to search the books. She decides to enlist the assistance of William Er...

This is an interesting question! One of the major cultural institutions this story could be satirizing and commenting on is the military draft. The United States instituted the draft in 1940, and 50 million American men registered for the draft by the end of World War II. While there are major differences between the two rituals, both involve a major element of chance, social responsibility, and the likelihood of death. Because so many families had experienced this, this would have loomed large in their minds. Of course, there are older traditions of human sacrifice. Many ancient cultures used human sacrifice, and, like the mention of "Lottery in June, corn be heavy soon," these sacrifices were often intended to please the gods, and/or as an exchange or payment for future good favor, like good crops or success in war.

`a_n=(ln(n^3))/(2n)` The first few terms of the sequence are: `0` ,  `0.5199` ,  `0.5493` ,  `0.5199` ,  `0.4828` ,  `0.4479` ,  `0.4170` ,... To determine if the sequence converge as the n becomes larger, take the limit of the nth-term as n approaches infinity. `lim_(n->oo)a_n`  `=lim_(n->oo) (ln(n^3))/(2n)` To take the limit of this, apply  L'Hospital's Rule. `=lim_(n->oo) ((ln(n^3))')/((2n)')` `=lim_(n->oo) (1/n^3*3n^2)/2` `=lim_(n->oo) (3/n)/2` `=lim_(n->oo) 3/(2n)` `= 3/2 lim_(n->oo) 1/n` `=3/2*0` `=0` Therefore, the sequence is convergent.  And the terms converges to a value of 0. 

This Criminal Law Brief is concerned with the ruling of the Supreme Court in Davis v. the United States in   relation to three other cases in lower courts as well as future cases. In Davis v. the United States , the Supreme Court made a ruling on the issue of how succinctly a criminal suspect must request his/her Fifth Amendment right to counsel. The decision of the Court was that after a suspect waives his/her Miranda rights, officers of the law are permitted to continue their questioning unless the suspect makes a clear and coherent request for an attorney or the questioning clearly violates the suspect's Fifth Amendment rights. In other words, this request must be unambiguous. Thus, this decision relieves the government of the "entire burden" of protecting the individual's privilege against self-incrimination.  Because the request must be unambiguous, this Supreme Court case permits lower courts, both constitutionally and practically, a certain latitude to interpr...

`int(8x)/(x^3+x^2-x-1)dx` `(8x)/(x^3+x^2-x-1)=(8x)/((x^3+x^2)-1(x+1))` `=(8x)/((x^2(x+1)-1(x+1)))` `=(8x)/((x+1)(x^2-1))` `=(8x)/((x+1)(x+1)(x-1))` `=(8x)/((x-1)(x+1)^2)` Now let's form the partial fraction template, `(8x)/((x-1)(x+1)^2)=A/(x-1)+B/(x+1)+C/(x+1)^2` Multiply the equation by the denominator, `8x=A(x+1)^2+B(x-1)(x+1)+C(x-1)` `8x=A(x^2+2x+1)+B(x^2-1)+C(x-1)` `8x=Ax^2+2Ax+A+Bx^2-B+Cx-C` `8x=(A+B)x^2+(2A+C)x+A-B-C` Comparing the coefficients of the like terms, `A+B=0`      -----------------(1) `2A+C=8`   -----------------(2) `A-B-C=0`  ---------------(3) From equation 1, `B=-A` Substitute B in equation 3, `A-(-A)-C=0` `2A-C=0`      ---------------(4) Now add equations 2 and 4, `4A=8` `A=8/4` `A=2` `B=-A=-2` Plug in the value of A in equation 4, `2(2)-C=0` `C=4` Plug in the values of A, B and C in the partial fraction template, `(8x)/((x-1)(x+1)^2)=2/(x-1)+(-2)/(x+1)+4/(x+1)^2`   `int(8x)/(x^3+x^2-x-1)dx=int(2/(x-1)-2/(x+1)+4/(x+1)^2)dx` Apply the sum rule, `=int2/(x-1)dx-...

Salzman, the marriage-broker, has been in some way disappointed by his daughter, Stella. It is likely that he put the picture of her in the envelope for review by Leo in the hope that Leo would choose her, since Leo is a young rabbi. Salzman tells Leo that she is "wild, without shame" and insists that she would be all wrong for Leo; she is materialistic, as Salzman says, and "for her to be poor was a sin." It seems to be a ploy using reverse psychology, and it works. Leo becomes obsessed with Stella, and when at last he meets her, he sees by her red shoes and cigarette that she might indeed be a bit wild, but her dress is white and her eyes reflect a certain innocence. The reader is left to assume that Leo will try to redeem Stella as her father, around the corner, chants "prayers for the dead," presumably including the daughter who is metaphorically dead to him.

Humans affect the rate of physical weathering in several ways. The first way I am going to discuss is acid rain. Humans have increased the rate of acid rain through our use of pollutants. Cars do a lot of damage because of their exhaust fumes. The sulfur dioxide and nitrogen oxide released from the tailpipes of cars go into the atmosphere and return back to Earth in the form of acid rain, snow, fog, or dust. Factories throw away waste and release gases into the atmosphere. This affects the environment in a similar way cars do. Another way humans affect the rate of weathering is through the mass removal of vegetation. This is done when we are building highways, malls, subdivisions, and other structures. Deforestation exposes soil to high levels of rainfall and runoff, leaving areas open to wind and chemical weathering. Deforestation also exposes rocks that were once covered by vegetation. These rocks are now susceptible to all types of physical weathering, including acid rain weathering...

Generally speaking, the government of a nation has the power to declare war. Typically, the constitution or other establishing laws of a nation will specify which part of the government can declare war. Thus, in some nations, such as the United States, the act of declaring war may be reserved to a legislative body. In other nations, the power to declare war may rest in an executive or head of state. In nations without a constitution or establishing laws, or where the power to declare war is not specifically reserved, the sovereign (the person or entity with ultimate decision making authority for a nation, such as a monarch) has the power to declare war.   If the question is asking who specifically in the government of the United States has the power to declare war, then the answer is that the power to declare war is specifically reserved to the Congress under Article I, Section 8 of the United States Constitution. Further, Congress has the power to fund the U.S. military and any contin...

Susan Eloise Hinton wrote  The Outsiders  when she was in high school and published her novel at the age of seventeen. Though her publishers were happy to print the novel, they were concerned her name might be a deterrent to potential readers. Especially for a story which deals so heavily with machismo, Viking Press felt a feminine name would discourage the target audience. As a result, Hinton chose to publish using her first and second initial alongside her surname. This decision is one many woman authors make, even today. Authors may fear having a feminine name implies their books are only  for  women, or only about topics which interest women. Of course, that's not necessarily true! Some women do write for a feminine audience, but many more are seeking to write to a more inclusive experience. Another famous author who chose to use a gender neutral pen name to prevent a gendered effect on book sales is J. K. Rowling, the author of the Harry Potter series.

In the opening chapter of Harper Lee's To Kill a Mockingbird , Scout the narrator explains a bit about her family and family history. One thing she explains is that their father, Atticus, married later in life a woman who was 15 years younger than him. Jem was born in their first year of marriage, and Scout was born 4 years later. Scout further explains that 2 years after Scout's birth, their mother "died from a sudden heart attack," and that heart illness "ran in [their mother's] family." The above would mean that Jem was 6 when they lost their mother, whereas Scout was only 2 years old. Since Scout was so young, she really doesn't remember their mother at all, whereas Jem remembers her very well and often misses her . Though the two children never talk about their mother, Scout speculates Jem misses her due to his behavior sometimes, as we see in the following passage: I did not miss her, but I think Jem did. He remembered her clearly, and somet...

This poem is a source of inspiration to all women because it creates an inclusive vision of womanhood . This is shown clearly in the first stanza when the speaker states that she does not adhere to society's typical view of beauty: she is not the same size as a "model," for instance, nor is she "cute." Instead, the speaker's beauty comes from the way she walks and behaves. We see this idea repeated in the next stanza when she  describes how men flock to her whenever she walks into a room, like bees around a hive. This is inspirational because it suggests that women do not have to look a particular way in order to be happy and beautiful—they are beautiful and inspirational in their own natural way. Secondly, the speaker inspires women by using the word 'phenomenal,' a word which is defined as something extraordinary and remarkable. So, by using this word, the speaker creates an association between being a woman and being extraordinary and special . Mo...

The first issue you have here is that your essay needs to have a coherent point. Night Waking is a novel about parenting, told from a mother's perspective. Lanark is really not about parenting and is not really the ideal choice of a second work. I suspect some of the reason you may be struggling with this assignment is that the choice of Lanark doesn't appear to have an obvious rationale. That being said, the main approach you should take is one contrasting the two works. Introduction: Your introduction should set out why you chose these two works and mention that parenting is treated quite differently, being central to one of the books and peripheral to the other, with the male writer less focused on parenting than the female one. Authors: Here you might compare and contrast the two authors, mentioning that Gray is substantially older than Moss, and is writing in the tradition of Joyce, addressing the question of the formation of the artist, while Moss is of a younger gener...

Zusak presents Hitler's efforts to indoctrinate German youth by writing scenes surrounding historical events such as book burning bonfires, forcing the boys to join the Hitler Youth, and peer pressure to hate Jews. First, from Part Two in the section entitled "100 Percent Pure German Sweat," Liesel attends the town's bonfire where books unsympathetic to Hitler's cause are destroyed. Men, women, and children are all invited to the event, which starts out with a parade of the Hitler Youth. The town is decorated with Nazi flags and the energy surrounding the event is intoxicating. Everyone is smiling and having a good time as book after book is thrown onto the bonfire. The descriptions in the text about the bonfire help to show how such an energized event brings people together to bond in the name of all things Hitler: "The orange flames waved at the crowd as paper and print dissolved inside them . . . On the other side, beyond the blurry heat, it was possible t...

In this poem, Wordsworth describes the experience of watching a solitary reaper who has no idea she is being watched. She is very much in "tune" with nature. Wordsworth was always interested in the artist's connection with nature. Also, his Romanticism and his poetry often concern the theme of the individual in nature. So, when he watches and listens to the "solitary" reaper, we can relate her art (singing) to Wordsworth's own art (poetry). In the first stanza, her work is linked with her song. Alone she cuts and binds the grain,  And sings a melancholy strain;  O listen! for the Vale profound  Is overflowing with the sound. Wordsworth suggests that being in nature and/or working with it (in solitude) produces an atmosphere conducive to expressive feelings and emotions. Just as Wordsworth would often find inspiration in his solitary walks in nature, the reaper finds inspiration in her own solitude. In the final stanza, she is seen/heard "singing at her ...

Price elasticity of supply is important for government because it can tell the government something about what the incidence of taxes will be. When governments impose taxes, they can be felt more or less by different groups of people.  For example, if the government imposes an excise tax on goods, will the consumers pay more of that tax or will the producers pay it?  This issue of who pays the tax is called the incidence of the tax. Price elasticity of supply helps to determine the incidence of the tax.  Whenever the price elasticity of supply is higher than the price elasticity of demand, the burden of the tax falls more on the consumer.  Whenever the elasticity of demand is higher than the elasticity of supply, the burden of the tax falls on the producer. When governments impose taxes, they want to know who those taxes will affect.  If the government knows the price elasticity of supply (and that of demand) it can know what the incidence of the tax will be.

First, you must differentiate between narrator and speaker. If "speaker" simply means a character who says something in the story, then that character "wrote" the story (in a sense) only if he/she is also the first person narrator. This is usually the case. Think of Nick Carraway in  The Great Gatsby .  This depends on the point of view. If the story is written in the third person, the narrator uses "he, she, they, etc." In other words, the narrator never uses "I" because he/she is not  in   the story. If this is the case, the third person narrator is not really a character in the story. You might be able to describe the values and characteristics of the narrator, as one removed from the world of the story. There is a sense that a third person narrator tells the reader the story and in that sense seems to have written it. But the third person narrator is not a character in the story.  If the story is written in the first person ("I"), i...

Kobo Abe wrote  The Man Who Turned into a Stick  as part of a series of plays intended to serve as a commentary on the nature of dehumanization. Exploitation and dehumanization are central themes in the play based on Abe's short works. Abe uses this story to explore the idea of one group exploiting another due to perceived differences between them. The play also focuses heavily on the theme of alienation or the separation and isolation of the individual within modern society. The story follows a man who physically resembles a stick and whose only meaning in life seems to be serving as a pawn for others. This character faces both internal and external punishments due to his passive nature. Over time, in a transformation similar to that of the main character in The Metamorphosis, he actually turns into a stick. After the newly transformed stick falls from the roof of a department store, two other characters in the story are tasked with transporting it to Hell. In Hell, it is revealed...

Many readers find it difficult to sympathize with Amir during the portions of the narrative where he recounts his childhood. Amir mistreats his servant and friend (and he will later find out, his half-brother, as well), Hassan. The pivotal moment in the novel and in the relationship between Hassan and Amir is when Amir witnesses Hassan being sexually assaulted by Assef in an alley after the kite fighting tournament; Amir is shocked and afraid and does nothing to help his friend or stop the assault. In fact, Amir tells us that he ran. Amir tries to justify his actions to himself by thinking of Hassan as a sacrificial lamb and his assault as necessary for Amir to secure Baba's affections (by bringing home the winning kite that Hassan runs and then is trying to protect when he is assaulted). Amir also feels superior to Hassan and tries to reason that he should not feel guilty that his Hazara servant has been harmed because according to Afghan culture, Hassan's life is not worth as...

Ponyboy hates the fact that society judges him as a bad person simply because he dresses like and hangs out with Greasers. In Chapter 1, Pony mentions that he felt like Pip from the novel Great Expectations because of the way he was marked lousy because he wasn't a gentleman. Ponyboy understands that it isn't his fault that he was raised in a lower-class home and suffered traumatic experiences. Initially, Ponyboy embraces his Greaser image out of spite for society. Later on in the novel, the boys are preparing to fight the Socs in a big rumble. Ponyboy's friends put excessive amounts of grease in their hair, and Ponyboy mentions that the Greasers had their reputations to uphold. Ponyboy then comments, " I don't want to be a hood, but even if I don't steal things and mug people and get boozed up, I'm marked lousy. Why should I be proud of it? Why should I even pretend to be proud of it? " (Hinton 113). Ponyboy essentially feels helpless in his situa...

In Chapter Eight, Ishmael is on the run after a rebel attack destroys the village of Kamator and scatters the remaining villagers who manage to escape execution. As Ishmael makes his way west, he finds himself in the middle of a thick forest. Ishmael describes his natural surroundings, highlighting his incredible solitude amidst the starkness of the wild. During his time in this lonely forest, he comes across a snake, at home in its surroundings, but nevertheless a danger to him if he neglects to stay alert. This mention of the snake is significant; it foreshadows the later revelation in Chapter Sixteen that Ishmael's nickname during his time as a child soldier was "Green Snake." He was given the nickname because he would situate himself "in the most advantageous and sneaky position and would take out a whole village from under the tiniest shrub without being noticed." In Chapter Sixteen, we learn that Ishmael's lieutenant actually complimented him about his...

Parametric curve (x(t),y(t)) has a horizontal tangent if its slope `dy/dx` is zero, i.e when `dy/dt=0` and `dx/dt!=0` Curve has a vertical tangent line, if its slope approaches infinity i.e `dx/dt=0` and `dy/dt!=0` Given parametric equations are: `x=t+4` `y=t^3-3t` `dx/dt=1` `dy/dt=3t^2-3` For Horizontal tangents, `dy/dt=0` `3t^2-3=0` `=>3t^2=3` `=>t^2=1` `=>t=+-1` Corresponding points on the curve can be found by plugging in the values of t in the equations, For t=1, `x_1=1+4=5` `y_1=1^3-3(1)=-2` For t=-1, `x_2=-1+4=3` `y_2=(-1)^3-3(-1)=2` Horizontal tangents are at the points (5,-2) and (3,2) For vertical tangents, `dx/dt=0` However `dx/dt=1!=0` So the curve has no vertical tangents.

The main point Kundera is trying to make in "The Hitchhiking Game" is that the assumptions and ideals we have often get in the way of our ability to see people as the complex individuals they are. Another major point the author makes is that identity is multidimensional and, in order to truly love someone, it is necessary to accept the subtle elements of their personality as well as their more superficial characteristics. The role of gender in identity and relationships is also heavily explored. The Complexity of Identity Kundera uses the generic terms of "the girl" and "the young man" to illustrate the concept of one-dimensional identities based on gender. The girl and the young man are both presented as archetypes in the beginning. The girl is innocent, naive, and sexually inexperienced, while her lover is shrewd and worldly. As the story progresses, subtle aspects of their identities merge. Although the girl begins her self-exploration by taking on a re...

In "Just Lather, That's All," the author effectively evokes the job of a barber by employing a number of sensory images. Here are some examples: He uses visual images to describe the barber's shaving preparation. In the first paragraph, for example, he describes how the barber holds his razor up to the light to check it and the rising foam which is caused by mixing the soap and water. He uses auditory images to describe the razor's movement along the captain's skin. The razor "rasped," for example, as it moved from the sideburn to the chin. He uses tactile imagery  (relating to touch) to portray the result of the shave. The barber's aim, for instance, is to be able to run the back of his hand across the captain's chin so that he cannot "feel a hair." He is successful in this aim: at the end of the story, the captain rubs his hands over his face and feels the "fresh" and "new" skin. This imagery enables us, the...

Throughout the novel The Outsiders the Greaser gang is made up of lower class individuals who come from broken homes. The Curtis brothers lost their parents in an unfortunate car accident and Darry, the oldest brother, was forced to work two jobs to support his family. Steve is continually fighting with his father and getting kicked out of his home, and Two-Bit's father left his family when Two-Bit was a child. Dally hates his father and even comments, " Shoot, my old man don't give a hang whether I'm in jail or dead in a car wreck or drunk in the gutter " (Hinton 75). Johnny is the youngest member of the gang, and he is continually abused at home. Each member lacks a family support system and looks to the other members of the gang to fill that void . Johnny is considered the gang's "pet" and comforts each individual when they need someone to talk to. They also rely on each other for shelter, protection, and even financial assistance. At the begin...

The span of poet Robert Frost's life (1874–1963) affected his poetry, as both his life and the forms of his poetry embraced both 19th century and more modern 20th century styles. For example, while maintaining the traditional meters of poetry, he embraced a more modern, direct style. He used the traditional meter of poetry, not free verse as modern poets did, and he also kept to traditional line lengths. However, like modern poets, he included dialogue in his poems, in works such as "The Housekeeper," in New England vernacular language.  In addition, his works came out of the years he spent living in New England, where his family returned in 1884. His ancestors were New Englanders, and he incorporated a sense of the land, particularly the countryside of New Hampshire, into his works. From 1915 on, he spent some of his time at a farm in Franconia, New Hampshire. In poems such as "After Apple-Picking," he is able to endow nature with a sense of wonder and the subl...

Daisy Buchanan from F. Scott Fitzgerald's  The Great Gatsby  is an intriguing character. She is, of course, beautiful, as she's commanded devotion from Gatsby for the greater part of his adult life. However, Daisy is also an extremely privileged woman and, because she is privileged, tends to be shallow and careless as well. Overall, it would appear that Daisy's chiefest concern is her own happiness, and she is hardly ever held accountable for her actions. For instance, when Daisy hits Myrtle Wilson with Gatsby's car, she readily allows Gatsby to take the blame, and also appears not to suffer very much when he is murdered as a result (she doesn't attend Gatsby's funeral). Indeed, at the end of the story, Daisy cares more for protecting herself from being implicated in Myrtle's death than she cares about Gatsby, and so she proves herself to be quite selfish. 

In the movie, the banks and investment bankers basically collude to enrich themselves at the expense of investors. The main culprit in this fiasco is one Michael Burry, a hedge-fund manager (played by Christian Bale). It is the year 2005, and Michael realizes that the housing market is sitting on a bubble which will eventually burst. Rather than warn the public, Michael decides to cash in on the crash when it happens. Through his research, he realizes the housing market has been supported by a glut of high-risk subprime loans. Subprime loans are typically made to investors with less-than-stellar credit, and the interest rates are usually (and sometimes substantially) higher than prime rates. These loans allow individuals with poor credit to buy houses or infuse some much-needed cash into their businesses. These loans are extremely risky, though. When borrowers make mortgage payments on time, the loans can be extremely profitable bond assets. Because of the nature of the loan, defaults ...

This poem is actually untitled and has become known as "Do not go gentle into that good night," its first line, as a result. You can tell because, in professional publications of the poem, only the first letter of the first word is capitalized instead of each significant word being capitalized. It is an appropriate title, however, because it encapsulates one of the main purposes of the poem: it comprises an attempt to persuade the speaker's father to fight against death and not go quietly into its symbolic darkness. In line 16, the narrator refers to his father as being on "that sad height," a figurative precipice that we can understand to signify a choice between moving forward into the darkness or stepping backward into the light. The speaker urges his father to "rage against the dying of the light" and to resist any desire to slip away. The line used as the poem's title does likewise.

A listening chart is a regular chart that has been adapted to row and column labels specifying music selection types, titles, artists, and music elements. For "The Sound of Music," your chart will reflect a single selection and a number of music elements. A chart is defined as the presentation of information displayed in boxes arranged in vertical columns and horizontal rows. You can choose between putting the selections in the vertical column, with the elements in the horizontal row, or the reverse, the elements in the vertical column and the selections in the horizontal row. With a single selection, the song will title the entire chart and you can choose between labeling the elements horizontally (across the top) or vertically (down the side). For a single selection, listing elements vertically (down the left-hand column) might prove more functional. The difference between the two methods is a visual one, with both resulting in the meeting, inside the chart boxes, of your a...

It's hard to say exactly what happens to Bod after he leaves the graveyard for the last time in The Graveyard Book . Though he has left the graveyard several times before, to go to school, to investigate his childhood home, and to see the ghosts dance the Macabray, for example, the last chapter of the novel implies that this will be his very last time leaving the graveyard and that he won't be coming back. Though Neil Gaiman doesn't explicitly tell us what Bod does when he leaves, we can make some educated guesses based on what we are given. First, he's given a wallet full of money, a passport with a new identity, and a suitcase full of belongings. These things are all new to him; he hasn't needed them in the graveyard, and this is just the beginning of preparing for life as a normal human being rather than a human surrounded by ghosts. Until this point, Bod's life has been rather sheltered. While he gets into all kinds of adventures, he doesn't get to see m...

Interesting question. I usually say that my favorite color is blue, but of course it really depends on what the color is part of. I like blue shirts but not blue walls. It's weird, but that's humanity for you. According to Livescience.com, blue is the most common favorite color of both men and women. While blue has a big lead over runner-up green among guys, ladies like purple almost as much as blue. It might be a little surprising to find out that pink is only the fifth favorite color choice for women. Some people particularly like certain combinations of colors. I happen to like the combination of orange and blue, probably because those are my college colors (University of Florida). I also like red with a little yellow, like the St. Louis Cardinal baseball team wears on their jerseys. 

All main events in a story will pertain to the exposition, rising action, climax, falling action, and resolution. The exposition generally occurs at the start of the story and concerns the moments the author introduces the setting, characters, and conflict. One of the most important events in D. H. Lawrence's exposition that sets up the conflict of "The Rocking-Horse Winner" is the narrator's description of the children and all their toys hearing echoing through the house the "unspoken phrase: There must be more money! There must be more money!" A second major event that is part of the exposition is the moment Paul has a conversation with his mother about why their family doesn't have enough money and what luck is. It is at this point in the story that Paul decides he himself is lucky and will be able to find luck; he decides his rocking-horse will be able to take him to where luck is, a decision that helps lead to the climax and resolution of the sto...

Wayne A. Logan addresses in this article what he sees as a problematic trend that threatens individuals’ constitutional rights—courts condoning police mistakes of law. These mistakes of law occur when police wrongly stop or arrest someone based on incorrect legal understanding. Logan cites as a major concern that when courts excuse these mistakes of law, the exclusionary rule cannot be applied. This means that courts may permit evidence secured as a result of mistakes of law. This evidence often supports prosecutions of unrelated, more serious offenses, typically relating to guns or drugs. Logan argues for courts to return to what has historically been their no-excuse position of condemning police mistakes of law. The article seeks to bring attention to the significant role police play, not just as enforcers, but as interpreters of law. Part I discusses two categories of police mistakes, constitutional and substantive law errors. Logan focuses on the latter, specifically in the context...

Given to solve , `int cos(theta) / (1+cos(theta)) d theta` just for easy solving let `x=theta ` so the equation is given as `int cos(x) / (1+cos(x)) d x ` -------(1) let `u= tan(x/2)` ,=>   then `cos(x)` is given as => `cos(x) = (1-tan^2(x/2))/(1+tan^2(x/2)) = (1-u^2)/(1+u^2)` =>`cos(x)= (1-u^2)/(1+u^2)` so `dx = 2/(1+u^2) du` the expalnation is given below after this solution at NOTE. so ,on substituting the value of u in the function (1) , we get `int cos(x) / (1+cos(x)) d x` =`int ( (1-u^2)/(1+u^2)) / ( (1-u^2)/(1+u^2) +1) 2/(1+u^2) du` =`int ( (1-u^2)/(1+u^2)) / ( (1-u^2+1+u^2)/(1+u^2) ) 2/(1+u^2) du` =`int ( (1-u^2) / ( (1-u^2+1+u^2) ) 2/(1+u^2) du` =`int ( (1-u^2) / ( (2) )) 2/(1+u^2) du` =`int ( (1-u^2)/(1+u^2) du` =`int ( (2-1-u^2)/(1+u^2) du` =`int ((2)/(1+u^2)) -1 du` =`int ((2)/(1+u^2)) du -int 1 du` =`2int ((1)/(1+u^2)) du -u` as we know `int ((1)/(1+u^2)) du = tan^(-1) u` so, `2int ((1)/(1+u^2)) du -u` =`2 tan^(-1) u - u` but `u= tan(x/2)` ,so = `2tan^(-1) (tan(x/...

"The Masque of the Red Death" has a surreal tone, and as such, cannot be read in a strictly literal sense. The obvious answer is of course that guests avoid the seventh room because it is scary. The other six rooms each have their own color and theme; they are welcoming, fun, and what one would expect of a party. The seventh room, however, is covered in black velvet, and unlike the other rooms where the windows match the walls in terms of color, this is the only room with a dual-tone theme. The black walls are illuminated by blood red windows. This is also the location of an ebony clock, which is not frightening in itself, but with each passing hour, this particular clock causes a wave of fear to spread through the party. This setting is enough to scare anyone off, especially when there are so many more cheerful rooms to spend time in.   However, the aversion to the seventh room is deeper than mere appearances. Think about the reason these guests are here. They are hiding fro...

The line spoken by Steady Eddie means that his ability to earn money is in the black case.  With money, he can buy food for himself (bread and butter if desired). The line is spoken in chapter 13.  The band is getting ready to go out to eat, and they have decided to take Bud with them.  Bud isn't along for just the ride though.  He has to work for his spot among the band members.  Steady Eddie gives Bud one of his first duties.  Carry his saxophone to the car.  Before Bud picks up the instrument case, Eddie reminds Bud to be careful with it.   "Grab that case over there and put it in the trunk of the Buick out back." He pointed to a long skinny black suitcase that had a leather handle on top of it and said, "And be careful, that's my bread and butter in there."  Bud is super confused by the comment, and Bud probably thinks that Eddie has actual bread and butter in the case.  Eddie politely explains that the case holds his instrument.   I must have looked con...

The protagonist in Charles Waddell Chestnutt’s short story “The Passing of Grandison” is Dick Owens, also known as Richard Owens, Esq. Owens is the son of a Kentucky slave owner, and the story is set soon after the Fugitive Slave Act is passed. The third person, limited narrator focuses on the thoughts and actions of Dick Owens, whose main goal, in his young life, is to win the love of Charity Lomax, who wants a hero for her husband and lover. She is enthralled by Owen’s recount of the trial of a young man from Ohio who assists slaves as they make their way to freedom, and sees this as an act of heroism. Dick Owens devises a scheme to free one of his father’s slaves, Grandison. As they travel north to New York, Boston, and finally to Niagara Falls, Canada, Grandison remains loyal to his master’s son, and denounces the abolitionists who try to entice him with freedom. Ultimately, Grandison is kidnapped, although the reader is left to wonder if this is Owens' plan. Owens returns home...

In Lois Lowry's  The Giver, the chief elder with the beard is the Receiver. When he gives memories to Jonas, he becomes the Giver. He is the one who will train Jonas to be the next Receiver of Memory. He is vitally significant to the whole community. Without him, they would not be able to live equally under Sameness. The Receiver holds all of the memories, wisdom, pain and joy of the history of the world. By doing this, the rest of the community can live balanced and safe lives free from war, pollution, and other hostile consequences found in free societies. Because the Receiver must bear the weight of the world's civilizations on his shoulders, he is allowed to live his life differently from everyone else--this might be why he wears a beard. For example, in chapter 8, Jonas has never seen him at the ceremonies before. Consequently, he recognizes some interesting things as shown in the following passage: "The Committee of Elders was sitting together in a group; and the Ch...

Because you are referring to The Boy in the Striped Pajamas , I assume you are speaking of the specific history behind the Nazi concentration camps before and during World War II.  (Of course, there have been other internment camps both before and after this time period.)   In short, Nazi concentration camps lasted from 1933 to 1945. The first concentration camps appeared immediately after Hitler became chancellor of the Nazi Party in Germany.  The treatment at the concentration camps became particularly harsh after Heinrich Himmler and his SS took complete control of them.  The population interned at the camps escalated rapidly, eventually numbering in the millions.  The largest population set “concentrated” here was the Jewish population (specifically from Poland).  The second largest population set “concentrated” here was the Soviet prisoners of war.  However, there were many other people placed in the camps as well, such as Catholic priests, homosexuals, intellectuals opposing the ...

The Articles of Confederation created a confederation type of government. In a confederation form of government the states retain most of the power. When the Articles of Confederation were written, the federal government had significant limits put on what it could do. For example, the federal government couldn’t levy taxes. The federal government couldn’t make people join the military. The federal government also couldn’t resolve disputes between the states. Because of these limits, the federal government created under the Articles of Confederation had many issues. There were financial issues. It was difficult for the government to pay its debts. It had trouble dealing with countries like Great Britain and Spain that were pushing us around and interfering with our trade. The federal government also had trouble keeping order. This was very clear when Shays’ Rebellion occurred. Thus, the Article of Confederation created a system of government in which the federal government had limited p...

Depending on your point of view, Reconstruction can be viewed as harmful or helpful to the South. I will explain both points of view so you can then make a decision. There are ways Reconstruction helped the South. Before the Civil War, the South’s economy was primarily agricultural. After the Civil War, the economy of the South became more diverse. New industries were built in the South. While the South still had a lot of farming, there were other kinds of jobs available as a result of Reconstruction. Another change is that the railroads expanded into the South as a result of Reconstruction. Before Reconstruction, most people traveled in the South by water. Most products were shipped by water. That changed after Reconstruction. African-Americans also got new freedoms and new rights. African-American males could vote, and some held political office. While some of these improvements were temporary, it was a step forward. It could be argued that Reconstruction hurt the South. The South re...

Remember that the narrator is relating this tale after it has happened. He recalls the "tall figures" taking him down into something. He adds that it is like an "interminableness of descent." The descent is completely silent and this adds to his horror and uncertainty. When his carriers reach the bottom, he struggles to regain his senses. He recalls his trial and sentencing (which happened prior to his descent). He then realizes he is lying on his back. Then he finally opens his eyes, but is unable to see anything because he is in complete darkness. He can only guess if he is dead or in some dungeon, awaiting his eventual execution. He has been carried into a subterranean area with a pit in the middle of it. He lies on the perimeter of the pit in total darkness. Evidently, this first attempt at his execution will succeed if he falls into the pit. He spends what little energy he has trying to determine the dimensions of the room/cave he is in. He miraculously avoids ...

Gender and sex have long been recognized as being two distinct characteristics. Sex refers to the sex organs with which a person is born, as well as their chromosomes (XX=female, XY=male). Gender  refers to characteristics that distinguish masculinity and femininity, and an individual's gender identity may or may not match the sex organs he or she possesses. That is, males may exhibit characteristics commonly associated with females, and vice versa.  So the question is, does a person exhibit male or female characteristics because they have a certain biological makeup, or does a person exhibit male or female characteristics because he or she is conforming to the expectations of their culture?  It is largely agreed that while sex is biological, gender is a function of culture and/or society.  Arguments for gender being a function of culture:  -Men and women adhere to different norms in different cultures. If gender were entirely biological, the same behaviors would be observed in me...

Maxwell Kane is Kenny Kane's son who has lived with his mother's parents for the last ten years. Kenny Kane, also known as Killer Kane, has been in jail for all of that time. Once he makes parole, Grim and Gram, Maxwell's grandparents and legal guardians, place a restraining order on Mr. Kane to deter him from getting close to their home or Maxwell. Since Killer Kane went to jail, he never had contact with Maxwell because Grim and Gram thought it best that the boy not have any contact with his murderous father. When Maxwell does meet his father, Kane tells his son that he sent letters from jail in an effort to keep in touch. Maxwell never received any of the letters, which Kane supposed; but once out of jail, he wanted to get his son back. Because of the restraining order, though, Kane couldn't just walk up to the house and ask to see his son; so, he makes his way into the house in the middle of the night on Christmas Eve and kidnaps Maxwell.